Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

A charitable organization in Hampton is hosting a black tie benefit. Yesterday, the organization sold \(25\) regular tickets and 100 VIP tickets, raising \(\$15,175\). Today, \(85\) regular tickets and \(100\) VIP tickets were sold, bringing in a total of \(\$18,715\). How much do the different ticket types cost?

A regular ticket costs \(\$\fbox{\phantom{?????}}\), and a VIP ticket costs \(\$\fbox{\phantom{?????}}\)